Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 798, 654, 81, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 798, 654, 81, 667 is 1
GCD(798, 654, 81, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 798, 654, 81, 667 is 1
GCD(798, 654, 81, 667) = 1
Given Input numbers are 798, 654, 81, 667
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 798
List of positive integer divisors of 798 that divides 798 without a remainder.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 81
List of positive integer divisors of 81 that divides 81 without a remainder.
1, 3, 9, 27, 81
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 798, 654, 81, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 654, 81, 667 is 1.
Therefore, GCD of numbers 798, 654, 81, 667 is 1
Given Input Data is 798, 654, 81, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 798 is 2 x 3 x 7 x 19
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 81 is 3 x 3 x 3 x 3
Prime Factorization of 667 is 23 x 29
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(798, 654) = 86982
GCD(798, 654) = ( 798 x 654 ) / 86982
GCD(798, 654) = 521892 / 86982
GCD(798, 654) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 81
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 81) = 162
GCD(6, 81) = ( 6 x 81 ) / 162
GCD(6, 81) = 486 / 162
GCD(6, 81) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 667) = 2001
GCD(3, 667) = ( 3 x 667 ) / 2001
GCD(3, 667) = 2001 / 2001
GCD(3, 667) = 1
GCD of 798, 654, 81, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 798, 654, 81, 667?
GCD of 798, 654, 81, 667 is 1
2. Where do I get the detailed procedure to find GCD of 798, 654, 81, 667?
You can find a detailed procedure to find GCD of 798, 654, 81, 667 on our page.
3. How to find GCD of 798, 654, 81, 667 on a calculator?
You can find the GCD of 798, 654, 81, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.